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Finding the Fourth Proportional to 359,932.86, 496,803.42 and 206,987.76

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Solution

The fourth proportional to 359,932.86, 496,803.42 and 206,987.76 is: 285,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,932.86 : 496,803.42 = 206,987.76 : x
  2. Step 2: Convert to fraction form
    359,932.86/496,803.42 = 206,987.76/x
  3. Step 3: Cross multiply
    359,932.86x = 496,803.42 × 206,987.76
  4. Step 4: Simplify right side
    359,932.86x = 102,832,227,066.14
  5. Step 5: Solve for x
    x = 102,832,227,066.14/359,932.86
  6. Step 6: Final answer
    x = 285,698.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.